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Finding the Fourth Proportional to 321,666.36, 482,664.21 and 141,877.14

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Solution

The fourth proportional to 321,666.36, 482,664.21 and 141,877.14 is: 212,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,666.36 : 482,664.21 = 141,877.14 : x
  2. Step 2: Convert to fraction form
    321,666.36/482,664.21 = 141,877.14/x
  3. Step 3: Cross multiply
    321,666.36x = 482,664.21 × 141,877.14
  4. Step 4: Simplify right side
    321,666.36x = 68,479,017,695.16
  5. Step 5: Solve for x
    x = 68,479,017,695.16/321,666.36
  6. Step 6: Final answer
    x = 212,888.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.